diff --git a/packages/@aws-cdk/aws-apigatewayv2/test/integ.ap.expected.json b/packages/@aws-cdk/aws-apigatewayv2/test/integ.ap.expected.json
new file mode 100644
index 0000000000000..3d1c9cdc6c3ec
--- /dev/null
+++ b/packages/@aws-cdk/aws-apigatewayv2/test/integ.ap.expected.json
@@ -0,0 +1,601 @@
+{
+  "Resources": {
+    "MyFuncServiceRole54065130": {
+      "Type": "AWS::IAM::Role",
+      "Properties": {
+        "AssumeRolePolicyDocument": {
+          "Statement": [
+            {
+              "Action": "sts:AssumeRole",
+              "Effect": "Allow",
+              "Principal": {
+                "Service": "lambda.amazonaws.com"
+              }
+            }
+          ],
+          "Version": "2012-10-17"
+        },
+        "ManagedPolicyArns": [
+          {
+            "Fn::Join": [
+              "",
+              [
+                "arn:",
+                {
+                  "Ref": "AWS::Partition"
+                },
+                ":iam::aws:policy/service-role/AWSLambdaBasicExecutionRole"
+              ]
+            ]
+          }
+        ]
+      }
+    },
+    "MyFunc8A243A2C": {
+      "Type": "AWS::Lambda::Function",
+      "Properties": {
+        "Code": {
+          "ZipFile": "\nimport json\ndef handler(event, context):\n      return {\n        'statusCode': 200,\n        'body': json.dumps(event)\n      }"
+        },
+        "Handler": "index.handler",
+        "Role": {
+          "Fn::GetAtt": [
+            "MyFuncServiceRole54065130",
+            "Arn"
+          ]
+        },
+        "Runtime": "python3.7"
+      },
+      "DependsOn": [
+        "MyFuncServiceRole54065130"
+      ]
+    },
+    "RootFuncServiceRoleE4AA9E41": {
+      "Type": "AWS::IAM::Role",
+      "Properties": {
+        "AssumeRolePolicyDocument": {
+          "Statement": [
+            {
+              "Action": "sts:AssumeRole",
+              "Effect": "Allow",
+              "Principal": {
+                "Service": "lambda.amazonaws.com"
+              }
+            }
+          ],
+          "Version": "2012-10-17"
+        },
+        "ManagedPolicyArns": [
+          {
+            "Fn::Join": [
+              "",
+              [
+                "arn:",
+                {
+                  "Ref": "AWS::Partition"
+                },
+                ":iam::aws:policy/service-role/AWSLambdaBasicExecutionRole"
+              ]
+            ]
+          }
+        ]
+      }
+    },
+    "RootFuncF39FB174": {
+      "Type": "AWS::Lambda::Function",
+      "Properties": {
+        "Code": {
+          "ZipFile": "\nimport json, os\ndef handler(event, context):\n      whoami = os.environ['WHOAMI']\n      http_path = os.environ['HTTP_PATH']\n      return {\n        'statusCode': 200,\n        'body': json.dumps({ 'whoami': whoami, 'http_path': http_path })\n      }"
+        },
+        "Handler": "index.handler",
+        "Role": {
+          "Fn::GetAtt": [
+            "RootFuncServiceRoleE4AA9E41",
+            "Arn"
+          ]
+        },
+        "Runtime": "python3.7",
+        "Environment": {
+          "Variables": {
+            "WHOAMI": "root",
+            "HTTP_PATH": "/"
+          }
+        }
+      },
+      "DependsOn": [
+        "RootFuncServiceRoleE4AA9E41"
+      ]
+    },
+    "LambdaProxyApi67594471": {
+      "Type": "AWS::ApiGatewayV2::Api",
+      "Properties": {
+        "Name": "LambdaProxyApi",
+        "ProtocolType": "HTTP",
+        "Target": {
+          "Fn::GetAtt": [
+            "MyFunc8A243A2C",
+            "Arn"
+          ]
+        }
+      }
+    },
+    "LambdaProxyApiPermission126890B4": {
+      "Type": "AWS::Lambda::Permission",
+      "Properties": {
+        "Action": "lambda:InvokeFunction",
+        "FunctionName": {
+          "Ref": "MyFunc8A243A2C"
+        },
+        "Principal": "apigateway.amazonaws.com",
+        "SourceArn": {
+          "Fn::Join": [
+            "",
+            [
+              "arn:aws:execute-api:",
+              {
+                "Ref": "AWS::Region"
+              },
+              ":",
+              {
+                "Ref": "AWS::AccountId"
+              },
+              ":",
+              {
+                "Ref": "LambdaProxyApi67594471"
+              },
+              "/*/*"
+            ]
+          ]
+        }
+      }
+    },
+    "IntegrationRootRoute": {
+      "Type": "AWS::ApiGatewayV2::Integration",
+      "Properties": {
+        "ApiId": {
+          "Ref": "LambdaProxyApi67594471"
+        },
+        "IntegrationType": "AWS_PROXY",
+        "IntegrationMethod": "POST",
+        "IntegrationUri": {
+          "Fn::Join": [
+            "",
+            [
+              "arn:aws:apigateway:",
+              {
+                "Ref": "AWS::Region"
+              },
+              ":lambda:path/2015-03-31/functions/",
+              {
+                "Fn::GetAtt": [
+                  "RootFuncF39FB174",
+                  "Arn"
+                ]
+              },
+              "/invocations"
+            ]
+          ]
+        },
+        "PayloadFormatVersion": "1.0"
+      }
+    },
+    "PermissionRootRoute": {
+      "Type": "AWS::Lambda::Permission",
+      "Properties": {
+        "Action": "lambda:InvokeFunction",
+        "FunctionName": {
+          "Ref": "RootFuncF39FB174"
+        },
+        "Principal": "apigateway.amazonaws.com",
+        "SourceArn": {
+          "Fn::Join": [
+            "",
+            [
+              "arn:aws:execute-api:",
+              {
+                "Ref": "AWS::Region"
+              },
+              ":",
+              {
+                "Ref": "AWS::AccountId"
+              },
+              ":",
+              {
+                "Ref": "LambdaProxyApi67594471"
+              },
+              "/*/*"
+            ]
+          ]
+        }
+      }
+    },
+    "RootRouteResoruceDCB7CC4A": {
+      "Type": "AWS::ApiGatewayV2::Route",
+      "Properties": {
+        "ApiId": {
+          "Ref": "LambdaProxyApi67594471"
+        },
+        "RouteKey": "ANY /",
+        "Target": {
+          "Fn::Join": [
+            "",
+            [
+              "integrations/",
+              {
+                "Ref": "IntegrationRootRoute"
+              }
+            ]
+          ]
+        }
+      }
+    },
+    "RootRouteIntegrationFoo7869F96E": {
+      "Type": "AWS::ApiGatewayV2::Integration",
+      "Properties": {
+        "ApiId": {
+          "Ref": "LambdaProxyApi67594471"
+        },
+        "IntegrationType": "AWS_PROXY",
+        "IntegrationMethod": "POST",
+        "IntegrationUri": {
+          "Fn::Join": [
+            "",
+            [
+              "arn:aws:apigateway:",
+              {
+                "Ref": "AWS::Region"
+              },
+              ":lambda:path/2015-03-31/functions/",
+              {
+                "Fn::GetAtt": [
+                  "MyFunc8A243A2C",
+                  "Arn"
+                ]
+              },
+              "/invocations"
+            ]
+          ]
+        },
+        "PayloadFormatVersion": "1.0"
+      }
+    },
+    "RootRoutePermissionFoo06AF804C": {
+      "Type": "AWS::Lambda::Permission",
+      "Properties": {
+        "Action": "lambda:InvokeFunction",
+        "FunctionName": {
+          "Ref": "MyFunc8A243A2C"
+        },
+        "Principal": "apigateway.amazonaws.com",
+        "SourceArn": {
+          "Fn::Join": [
+            "",
+            [
+              "arn:aws:execute-api:",
+              {
+                "Ref": "AWS::Region"
+              },
+              ":",
+              {
+                "Ref": "AWS::AccountId"
+              },
+              ":",
+              {
+                "Ref": "LambdaProxyApi67594471"
+              },
+              "/*/*"
+            ]
+          ]
+        }
+      }
+    },
+    "RootRouteFooResoruceB48AF356": {
+      "Type": "AWS::ApiGatewayV2::Route",
+      "Properties": {
+        "ApiId": {
+          "Ref": "LambdaProxyApi67594471"
+        },
+        "RouteKey": "GET /foo",
+        "Target": {
+          "Fn::Join": [
+            "",
+            [
+              "integrations/",
+              {
+                "Ref": "RootRouteIntegrationFoo7869F96E"
+              }
+            ]
+          ]
+        }
+      }
+    },
+    "RootRouteFooIntegrationFooCheckIp87863B2F": {
+      "Type": "AWS::ApiGatewayV2::Integration",
+      "Properties": {
+        "ApiId": {
+          "Ref": "LambdaProxyApi67594471"
+        },
+        "IntegrationType": "HTTP_PROXY",
+        "IntegrationMethod": "ANY",
+        "IntegrationUri": "https://checkip.amazonaws.com",
+        "PayloadFormatVersion": "1.0"
+      }
+    },
+    "RootRouteFooFooCheckIpResoruce7E7874A1": {
+      "Type": "AWS::ApiGatewayV2::Route",
+      "Properties": {
+        "ApiId": {
+          "Ref": "LambdaProxyApi67594471"
+        },
+        "RouteKey": "ANY /foo/checkip",
+        "Target": {
+          "Fn::Join": [
+            "",
+            [
+              "integrations/",
+              {
+                "Ref": "RootRouteFooIntegrationFooCheckIp87863B2F"
+              }
+            ]
+          ]
+        }
+      }
+    },
+    "HttpProxyApiD0217C67": {
+      "Type": "AWS::ApiGatewayV2::Api",
+      "Properties": {
+        "Name": "HttpProxyApi",
+        "ProtocolType": "HTTP",
+        "Target": "https://aws.amazon.com"
+      }
+    },
+    "IntegrationSomeLambdaRoute": {
+      "Type": "AWS::ApiGatewayV2::Integration",
+      "Properties": {
+        "ApiId": {
+          "Ref": "LambdaProxyApi67594471"
+        },
+        "IntegrationType": "AWS_PROXY",
+        "IntegrationMethod": "POST",
+        "IntegrationUri": {
+          "Fn::Join": [
+            "",
+            [
+              "arn:aws:apigateway:",
+              {
+                "Ref": "AWS::Region"
+              },
+              ":lambda:path/2015-03-31/functions/",
+              {
+                "Fn::GetAtt": [
+                  "MyFunc8A243A2C",
+                  "Arn"
+                ]
+              },
+              "/invocations"
+            ]
+          ]
+        },
+        "PayloadFormatVersion": "1.0"
+      }
+    },
+    "PermissionSomeLambdaRoute": {
+      "Type": "AWS::Lambda::Permission",
+      "Properties": {
+        "Action": "lambda:InvokeFunction",
+        "FunctionName": {
+          "Ref": "MyFunc8A243A2C"
+        },
+        "Principal": "apigateway.amazonaws.com",
+        "SourceArn": {
+          "Fn::Join": [
+            "",
+            [
+              "arn:aws:execute-api:",
+              {
+                "Ref": "AWS::Region"
+              },
+              ":",
+              {
+                "Ref": "AWS::AccountId"
+              },
+              ":",
+              {
+                "Ref": "LambdaProxyApi67594471"
+              },
+              "/*/*"
+            ]
+          ]
+        }
+      }
+    },
+    "SomeLambdaRouteResoruce8A88D44E": {
+      "Type": "AWS::ApiGatewayV2::Route",
+      "Properties": {
+        "ApiId": {
+          "Ref": "LambdaProxyApi67594471"
+        },
+        "RouteKey": "ANY /some/very/deep/route/path",
+        "Target": {
+          "Fn::Join": [
+            "",
+            [
+              "integrations/",
+              {
+                "Ref": "IntegrationSomeLambdaRoute"
+              }
+            ]
+          ]
+        }
+      }
+    },
+    "SomeLambdaRouteIntegrationSomeDeepPathBar96AE7930": {
+      "Type": "AWS::ApiGatewayV2::Integration",
+      "Properties": {
+        "ApiId": {
+          "Ref": "LambdaProxyApi67594471"
+        },
+        "IntegrationType": "AWS_PROXY",
+        "IntegrationMethod": "POST",
+        "IntegrationUri": {
+          "Fn::Join": [
+            "",
+            [
+              "arn:aws:apigateway:",
+              {
+                "Ref": "AWS::Region"
+              },
+              ":lambda:path/2015-03-31/functions/",
+              {
+                "Fn::GetAtt": [
+                  "MyFunc8A243A2C",
+                  "Arn"
+                ]
+              },
+              "/invocations"
+            ]
+          ]
+        },
+        "PayloadFormatVersion": "1.0"
+      }
+    },
+    "SomeLambdaRoutePermissionSomeDeepPathBar34A20879": {
+      "Type": "AWS::Lambda::Permission",
+      "Properties": {
+        "Action": "lambda:InvokeFunction",
+        "FunctionName": {
+          "Ref": "MyFunc8A243A2C"
+        },
+        "Principal": "apigateway.amazonaws.com",
+        "SourceArn": {
+          "Fn::Join": [
+            "",
+            [
+              "arn:aws:execute-api:",
+              {
+                "Ref": "AWS::Region"
+              },
+              ":",
+              {
+                "Ref": "AWS::AccountId"
+              },
+              ":",
+              {
+                "Ref": "LambdaProxyApi67594471"
+              },
+              "/*/*"
+            ]
+          ]
+        }
+      }
+    },
+    "SomeLambdaRouteSomeDeepPathBarResoruceC800EE14": {
+      "Type": "AWS::ApiGatewayV2::Route",
+      "Properties": {
+        "ApiId": {
+          "Ref": "LambdaProxyApi67594471"
+        },
+        "RouteKey": "GET /some/very/deep/route/path/bar",
+        "Target": {
+          "Fn::Join": [
+            "",
+            [
+              "integrations/",
+              {
+                "Ref": "SomeLambdaRouteIntegrationSomeDeepPathBar96AE7930"
+              }
+            ]
+          ]
+        }
+      }
+    },
+    "SomeLambdaRouteSomeDeepPathBarIntegrationSomeDeepPathBarCheckIp911CF681": {
+      "Type": "AWS::ApiGatewayV2::Integration",
+      "Properties": {
+        "ApiId": {
+          "Ref": "LambdaProxyApi67594471"
+        },
+        "IntegrationType": "HTTP_PROXY",
+        "IntegrationMethod": "ANY",
+        "IntegrationUri": "https://checkip.amazonaws.com",
+        "PayloadFormatVersion": "1.0"
+      }
+    },
+    "SomeLambdaRouteSomeDeepPathBarSomeDeepPathBarCheckIpResoruce5039BD41": {
+      "Type": "AWS::ApiGatewayV2::Route",
+      "Properties": {
+        "ApiId": {
+          "Ref": "LambdaProxyApi67594471"
+        },
+        "RouteKey": "ANY /some/very/deep/route/path/bar/checkip",
+        "Target": {
+          "Fn::Join": [
+            "",
+            [
+              "integrations/",
+              {
+                "Ref": "SomeLambdaRouteSomeDeepPathBarIntegrationSomeDeepPathBarCheckIp911CF681"
+              }
+            ]
+          ]
+        }
+      }
+    }
+  },
+  "Outputs": {
+    "LambdaProxyApiLambdaProxyApiUrl2866EF1B": {
+      "Value": {
+        "Fn::Join": [
+          "",
+          [
+            "https://",
+            {
+              "Ref": "LambdaProxyApi67594471"
+            },
+            ".execute-api.",
+            {
+              "Ref": "AWS::Region"
+            },
+            ".amazonaws.com"
+          ]
+        ]
+      }
+    },
+    "HttpProxyApiHttpProxyApiUrl25461D7F": {
+      "Value": {
+        "Fn::Join": [
+          "",
+          [
+            "https://",
+            {
+              "Ref": "HttpProxyApiD0217C67"
+            },
+            ".execute-api.",
+            {
+              "Ref": "AWS::Region"
+            },
+            ".amazonaws.com"
+          ]
+        ]
+      }
+    },
+    "SomeDeepLambdaRouteURL": {
+      "Value": {
+        "Fn::Join": [
+          "",
+          [
+            "https://",
+            {
+              "Ref": "LambdaProxyApi67594471"
+            },
+            ".execute-api.",
+            {
+              "Ref": "AWS::Region"
+            },
+            ".amazonaws.com/some/very/deep/route/path"
+          ]
+        ]
+      }
+    }
+  }
+}
\ No newline at end of file